Greatest Common Factor of 5922/675, 8927/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5922/675, 8927/460

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5922/675,8927/460

Given fractions are 5922/675,8927/460

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5922,8927

Greatest Common Factor of Numerators i.e. GCF of 5922,8927 is 1 .

LCM of Denominators means LCM of 675,460 as per the given fractions.

LCM of 675,460 is 62100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5922,8927

GCF of Fractions 5922/675,8927/460 is 1/62100

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5922,8927 By Matching Biggest Common Factor Method

Greatest Common Factor of 5922,8927 By Matching Biggest Common Factor Method

Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Factors of 8927

List of positive integer factors of 8927 that divides 8927 without a remainder.

1,79,113,8927

Greatest Common Factor

We found the factors 5922,8927 . The biggest common factor number is the GCF number.
So the greatest common factor 5922,8927 is 1.

Lets's calculate LCM of 675,460

5 675, 460
135, 92

∴ So the LCM of the given numbers is 5 x 135 x 92 = 62100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62100

Therefore, the GCF of Fractions 5922/675,8927/460 is 1/62100

Least Common Multiple of 675,460 with GCF Formula

Least Common Multiple of 675,460 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 675,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,460) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(675,460) x common factors =5 x 1 = 5

LCM(675,460) = ( 675 × 460 ) / 5

LCM(675,460) = 310500 / 5

LCM(675,460) = 62100


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5922/675, 8927/460

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5922/675, 8927/460?

Answer: GCF of Numerators as per given numbers 5922/675, 8927/460 is

GCF of Numerators i.e. for 5922,8927 is 1

LCM of denominators i.e. for 675,460 is 62100.

Thus, GCF of Fractions is 1/62100.Finally, GCF of Fractions for 5922/675, 8927/460 is 1/62100.